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What is the Least Common Multiple of 11610 and 11629?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11610 and 11629 is 135012690.

LCM(11610,11629) = 135012690

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Least Common Multiple of 11610 and 11629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11610 and 11629, than apply into the LCM equation.

GCF(11610,11629) = 1
LCM(11610,11629) = ( 11610 × 11629) / 1
LCM(11610,11629) = 135012690 / 1
LCM(11610,11629) = 135012690

Least Common Multiple (LCM) of 11610 and 11629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11610 and 11629. First we will calculate the prime factors of 11610 and 11629.

Prime Factorization of 11610

Prime factors of 11610 are 2, 3, 5, 43. Prime factorization of 11610 in exponential form is:

11610 = 21 × 33 × 51 × 431

Prime Factorization of 11629

Prime factors of 11629 are 29, 401. Prime factorization of 11629 in exponential form is:

11629 = 291 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 11610 and 11629.

LCM(11610,11629) = 21 × 33 × 51 × 431 × 291 × 4011
LCM(11610,11629) = 135012690